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arXiv · 2309.16860

Hyperbolicity in non-metric cubical small-cancellation

Macarena Arenas·Kasia Jankiewicz·Daniel T. Wise
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Abstract

Given a non-positively curved cube complex $X$, we prove that the quotient of $\pi_1X$ defined by a cubical presentation $\langle X\mid Y_1,\dots, Y_s\rangle$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that $\pi_1X$ is hyperbolic. This generalises the fact that finitely presented classical $C(7)$ small-cancellation groups are hyperbolic.

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Macarena Arenas, Kasia Jankiewicz, Daniel T. Wise. 2023-09-28. Hyperbolicity in non-metric cubical small-cancellation. https://arxiv.org/abs/2309.16860

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